Exponential and Logarithmic Functions

Prerequisites:
Skill
Review in the book
Review On-line
1. Function: definition, vertical test

http://youtu.be/uWXmfnpAirA
http://youtu.be/j6FENbsdswA
2. n-th roots, rational exponents
A88: Ex. 1, 3-6, A93: #7-32, #43-52
A94: #55-74

3. Laws of exponents
A8: Definitions, Ex. 10, theorem,
Ex. 11; A11: #83-104

4. Laws of Logarithms

http://youtu.be/pP3NunYYhzk
5. Changing simple exponential expressions
into logarithmic and vise versa.


6. Laws of exponents

Introduction to Exponents
Dividing Exponents
Applying Laws of Exponents
Applying Laws of Exponents Ex. 2
Applying Laws of Exponents Ex. 3
Applying Negative Exponents Ex. 1
Applying Negative Exponents Ex 2
Intro to Negative and Fractional Exponents



Factoring Game

Wreck Factor




Objective
Related lesson
in the book
Exercises in the book
Additional Resources
Finding an output of a composite function
5.1


Finding domain of a composite function
5.1

Ex 1
Ex. 2
Ex. 3
1. Determine if a function is one-to-one
5.2
p.265: #9-22 all
p.266: 27-30, 41-46,
47-57 odds
http://youtu.be/s02tm3veZk8
2. Draw the graph of inverse function from
the graph of a function
5.2


3. Find an equation of the inverse function
5.2

http://www.youtube.com/watch?v=nSmFzOpxhbY
http://youtu.be/Ec5YYVxyq44
review 5.1-5.2



4. Evaluate Exponential Functions
5.3


5. Graph Exponential Function
5.3

https://www.youtube.com/watch?v=ls78_2UBcdY
6. Define number e
5.3


7. Solve exponential equations
5.3

https://www.youtube.com/watch?v=M6f6dANVyxA
8. Evaluate logarithmic expressions
5.4

graphing logs
solving logarithmic equations
more equations
. Properties of logs
5.5

combining and expanding logs
more examples
third example
change of base
Applications of logarithmic and exponential
functions
5.6-5.8

population growth
For final Review

Answer Key for the multiple Choice/Short Answer
Questions in the handout.



Fall Final Review:
Precalc Fall Final Review: (Sullivan & Sullivan)
Chapter 1 Test. p. 54 # 1,3, 4, 7, 11, 13
Cumulative Review p. 123 # 2, 4, 6, 8, 10, 15, 18, 21, 22a-d, 24
Cumulative Review p. 172 # 5, 6, 7, 8
Cumulative Review p. 243 # 1, 4, 5, 10, 11, 12, 18
Chapter 5 Test p. 348 # 12, 13, 14, 15
Chapter 2 Review p. 121 # 26, 28
Chapter 4 Review p. 242 # 76
Chapter 4 Review p. 241 # 19, 20, 39, 46
Chapter 5 Review p. 344 # 2, 12, 13, 14
Chapter 5 Review p. 345 # 33, 34, 42
Chapter 5 Review p. 346 # 66, 67, 68, 71, 73, 74, 79, 90, 92
Section 13.2 p. 862 # 34
Section 13.2 p. 863 # 50
Section 13.3 p. 872 # 17, 18
Chapter 2 Review p. 120 # 16
Section 4.1 p. 188 # 12, 40
Chapter 13 test p. 877 # 9
Section 4.5 p. 232 # 40
Chapter 3 Test p. 171 # 11, 8, 4bc, 7